Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Please help me solve this equation for $x$.

$$y = \frac{0.2 x \sqrt{\left|\frac{x}{a}\right|}}{ \left|\frac{x}{a}\right|^{2/3}/1,75}$$

share|cite|improve this question
Please make sure the equation is what you intended. – Stefan Hansen Jan 27 '13 at 21:03
The questions in the title and the body are different. – mrf Jan 27 '13 at 21:44
It's not equation. Just a function. – hjpotter92 Jan 28 '13 at 6:37
I updated my function. I forgot to put one brace. – Martin Jan 28 '13 at 9:52
OK I calculated it and got x = ±(3.52467 y^(6/5))/a^(1/5). – Martin Jan 28 '13 at 10:23

Hint: For any $b>0$: $$ b\frac{\sqrt{b}}{b^{2/3}}=b\frac{b^{1/2}}{b^{2/3}}=b^{1+1/2-2/3}=b^{5/6}. $$ Use this with $b=\left|\frac{x}{a}\right|$ assuming $x\neq 0$.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.